18. In preparation for an outdoor rock concert, a stage crew must determine how far apart to place the two large speaker columns on stage. What generally works best is to place18. Then at 40 degree angle to the center of the front row. The distance from the center of the front row to each of the speaker is 15 feet. How far apart does the crew need to place the speakers on stage?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Help it’s question 18
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#### Problem 18:

**Topic: Practical Geometry and Trigonometry Application**

In preparation for an outdoor rock concert, a stage crew must determine how far apart to place the two large speaker columns on stage. What generally works best is to place the speakers at an angle of 40 degrees to the center of the front row. The distance from the center of the front row to each of the speakers is 15 feet. How far apart does the crew need to place the speakers on stage?

*Explanation*: 
To solve this problem, you can apply the principles of trigonometry, specifically focusing on calculating the distance between two points when given an angle and one side of a triangle.

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#### Problem 19:

**Topic: Applied Geometry in Navigation**

A group of college students is learning to navigate for an upcoming survival trip. On a map, they have been given three points at which they are to check in. The map also shows the distances between the points. However, to navigate, they need to know the angle measurements.

*Objective:* Calculate the angle opposite the largest side, given that the distances between the three points are 34.2 km, 21.6 km, and 40.9 km.

*Explanation*: 
This problem involves using the Law of Cosines to find the angle opposite the longest side of a triangle, which is a common application in navigation and surveying.

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Transcribed Image Text:### Educational Website --- #### Problem 18: **Topic: Practical Geometry and Trigonometry Application** In preparation for an outdoor rock concert, a stage crew must determine how far apart to place the two large speaker columns on stage. What generally works best is to place the speakers at an angle of 40 degrees to the center of the front row. The distance from the center of the front row to each of the speakers is 15 feet. How far apart does the crew need to place the speakers on stage? *Explanation*: To solve this problem, you can apply the principles of trigonometry, specifically focusing on calculating the distance between two points when given an angle and one side of a triangle. --- #### Problem 19: **Topic: Applied Geometry in Navigation** A group of college students is learning to navigate for an upcoming survival trip. On a map, they have been given three points at which they are to check in. The map also shows the distances between the points. However, to navigate, they need to know the angle measurements. *Objective:* Calculate the angle opposite the largest side, given that the distances between the three points are 34.2 km, 21.6 km, and 40.9 km. *Explanation*: This problem involves using the Law of Cosines to find the angle opposite the longest side of a triangle, which is a common application in navigation and surveying. ---
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